Suppose the Equations $\frac{d y}{d t}=-4 y+2 x y$ $\frac{d x}{d t}=-x+x y$

question 4

Short Answer

Suppose the equations $\frac{d y}{d t}=-4 y+2 x y$ , $\frac{d x}{d t}=-x+x y$ describe the rates of growth of two interacting species, where x is the number of species A, measured in thousands, and y is the number of species B, measured in thousands.The slope field in the xy-phase plane is shown below.Sketch the trajectory for initial conditions of x = 1.5, y = 0.5.(In other words, there are initially 1500 of species A and 500 of species B).Is species A increasing or decreasing?

Recognize the importance and roles of apology and amends in the process of forgiveness.

Identify the impact of revenge and resentment on the forgiveness process.

Understand the significance of facing one's emotions, such as anger, in the forgiving process.

Recognize the role of memory in relation to forgiveness.

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